A183289 T(n,k) = Half the number of n X k binary arrays with the number of 1-1 horizontal, vertical, diagonal and antidiagonal adjacencies equal to the number of 0-0 adjacencies.

1, 1, 1, 1, 3, 1, 2, 6, 6, 2, 3, 18, 1, 18, 3, 6, 60, 180, 180, 60, 6, 10, 210, 116, 2184, 116, 210, 10, 20, 756, 8016, 28440, 28440, 8016, 756, 20, 35, 2772, 9746, 385316, 150979, 385316, 9746, 2772, 35, 70, 10296, 398126, 5358022, 20021342, 20021342, 5358022

Offset

1,5

Comments

Table starts

..1.....1........1...........2..............3.................6

..1.....3........6..........18.............60...............210

..1.....6........1.........180............116..............8016

..2....18......180........2184..........28440............385316

..3....60......116.......28440.........150979..........20021342

..6...210.....8016......385316.......20021342........1085177164

.10...756.....9746.....5358022......174883800.......60444425412

.20..2772...398126....75912216....15784256016.....3432989914472

.35.10296...725872..1090973732...190371233229...197894482415760

.70.38610.20910204.15858156696.13214123612340.11543252431044600

Links

R. H. Hardin, Table of n, a(n) for n = 1..2000

Example

All solutions for 3 X 3 with a(1,1)=0
..0..1..0
..1..0..1
..0..1..0

Crossrefs

Column 1 is A001405(n-2).

Column 2 is 3*A000984(n-2).

Sequence in context: A317863 A318214 A318552 * A183253 A201675 A279859

Adjacent sequences: A183286 A183287 A183288 * A183290 A183291 A183292

Keyword

nonn,tabl

Author

R. H. Hardin Jan 03 2011

Status

approved